What is 9.98 percent of 9.5 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 9.5 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 9.5 is 100%, so we can write it down as 9.5=100%.
4. We know, that x is 9.98% of the output value, so we can write it down as x=9.98%.
5. Now we have two simple equations:
1) 9.5=100%
2) x=9.98%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
9.5/x=100%/9.98%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 9.98% of 9.5

9.5/x=100/9.98
(9.5/x)*x=(100/9.98)*x       - we multiply both sides of the equation by x
9.5=10.02004008016*x       - we divide both sides of the equation by (10.02004008016) to get x
9.5/10.02004008016=x
0.9481=x
x=0.9481

now we have:
9.98% of 9.5=0.9481